We are concerned with approximating the cubic nonlinear Schrodinger
equation in two dimension. In particular we would like to follow
the evolution of a single soliton solution. The initial datum
(the so called ground state) is the positive solution u of the
following nonlinear equation

-\Delta u + u - u^3 =0

subjected to a fast decay condition at infinity.
The numerical experiments that we have tried for the determination of u
were non successfull due to the instability of such a solution.
We are aware of some results of M. Weinstein, although we were not able to
find them. A shape of the ground state function is given in:
Sulem, Sulem and Patera (Comm. Pure and Appl. Math, Vol. 37, 1984),
but there are not indications for the computation.

designed by the research group for numerical algorithms on supercomputers
at the Computing Center of the University of Karlsruhe

VECFEM is a FORTRAN77 library of subroutines for the solution of systems of
steady or nonsteady nonlinear partial differential equations (PDE). The
domain is an arbitrary 1-dimensional, 2-dimensional or 3-dimensional set. For
the discretization in space direction finite elements are used. The time
direction is discretized by finite differences with variable order and
step size, where the optimal order an step size is independently found. To
check the quality of the calculated solution an error indicator is computed.
For the solution of the resulting large scaled and sparse linear systems
iterative methods of the conjugate gradient type (CG-methods) are used.

For the mesh generation and graphical representation of the solution
interfaces to the pre- and postprocessor programs I-DEAS and PATRAN
are available. The data structures and algorithms are optimal for a
vectorization on a vector computer. Therefore VECFEM is especially
suitable for the solution of large scaled problems.

The licence fee for noncommerical application is 250 DM (=170US$). More
informations are available in WWW on http://www.uni-karlsruhe.de/~vecfem.

Every two years The MathWorks hosts a MATLAB Conference for its user
community. Our 1993 Conference was well received and attendance was over
400. The 1995 Conference will be held October 16-18, 1995 at the Hyatt
Regency in Cambridge, Massachusetts.

Program
The Conference is a combination of special sessions, expository talks by
The MathWorks development staff and toolbox authors, user-contributed
papers, and product minicourses. The Conference is focused on providing a
forum for discussion and learning not only on MATLAB, SIMULINK and
toolboxes, but also on the state of research and development in the fields
of mathematics, education and engineering.

This year's Conference will feature special sessions by Cleve Moler, Jack
Little, fuzzy logic expert Lotfi Zadeh, signal processing expert Ron
Schafer, and several industry leaders in the field of control design.

Call for Papers
We are issuing a Call for Papers for the Conference. The process for
acceptance will be more formal for the 1995 Conference than it was for the
1993 Conference and proceedings will be generated for the 1995 MATLAB
Conference. If you are interested in the Call for Papers, send mail to:

conference@mathworks.com

For More Information
We have an interactive multimedia diskette that contains details on the
1995 Conference. It is available for PC or Macintosh and also through our
Home Page (http://www.mathworks.com). If you would like to receive a disk,
which includes both a registration form and Call for Papers details, please
send your name, shipping address, phone number and choice of PC or
Macintosh to:

Announcement
about a summer school on:
IDENTIFICATION AND OPTIMIZATION

Prague, 17-18 July 1995

The school is organised within the framework of the project "Adaptive and
predictive control with physical constraints" (PREDCON) funded by the
Commission of the European Communities (grant CP941174) under COPERNICUS
scheme (Cooperation in Science and Technology with Central and Eastern
European Countries). Its main aims are:
- to give an overview of on-line identification;
- to present new results in the field of identification methods used for
predictor-based self-tuning controllers;
- to introduce current and perspective optimization methods for controller
design.
The proceedings will contain full papers of presented lectures.
Registration fee is 40 GB pounds, including lunches, refreshments and
proceedings.
Venue:
Institute of Information Theory and Automation, Academy of Sciences of
the Czech Republic.

Organized by:
UNI*C (The Danish Computing Centre for Research and Education) and
IMM (The Institute for Mathematical Modelling of the Technical
University of Denmark) in collaboration with
Professor Jack Dongarra from the University of Tennessee and Oak
Ridge National Laboratory.

SUPER! 95, the eighth annual conference for users of IBM-based high
performance computing systems, will be hosted by the University of
Arizona in Tucson, Arizona.

Reserve April 23 - 26, 1995 to attend this excellent technical
program and enjoy the wonderful weather and cuisine of the great
Southwest.

Attendees are people who use or manage high performance computing
facilities. This includes faculty, research scientists, technical
and user support staff, computing center managers, and others
interested in IBM's newest high performance computing technology.

Some of the topics and speakers include:

* "The Impact of Impacts in the Solar System"
Professor Willy Benz, University of Arizona

One of the highlights of SUPER! is the Open Forum. This is when the
attendees "get the floor" for 90 minutes to interact with a panel of
the IBM managers responsible for the POWER Parallel Division,
RS/6000 development, AIX development, and POWER parallel application
software development about issues and concerns, new directions, or
anything attendees wish to ask. Last year the IBM panelists were
very open and forthcoming! Many of the same panelists will return
this year. The complete program and information about registration
is on the SUPER!95 World Wide Web server at the address below.

For more information, contact:

Research Computing Group
Center for Computing and Information Technology
The University of Arizona
Tucson, AZ 85721

Center for Research in Scientific Computation
North Carolina State University
Raleigh, North Carolina

FOREWORD
The Industrial Mathematics Modeling Workshop for Graduate Students,
which is the fourth in the series, will take place at the Center for
Research in Scientific Computation at North Carolina State University
in Raleigh, North Carolina, 7-16 August 1995. This workshop is being
held annually, the previous highly successful meetings was held at the
University of Minnesota in 1992 and at the Claremont Colleges in 1993
and 1994. A description of the 1993 Claremont workshop can be found in
SIAM NEWS, November, 1993 issue.
In line with the previous workshops the goals of this workshop are:
* to expose 30 graduate students in mathematics and
statistics to the challenging and exciting real-world
problems from industry and government laboratories;
* to introduce students to the team approach to problem
solving.
Funding for this workshop has been requested with the National Security
Agency and the Army Research Office. Additional support is anticipated
from the Center for Research in Scientific Computation.

FORMAT
In the workshop the students will be divided into six teams to work
on "industrial mathematics" problems brought on by experienced applied
mathematicians. These problems are challenging, real-world problems
from industry or applied science and require fresh, new insight for
their formulation and solution. The problem presenters, primarily
from industry and government laboratories, are being recruited and
their names will be announced subsequently.

APPLICATION PROCEDURE
Graduate students in mathematics, applied mathematics, statistics or
operations research can be nominated for this program by a faculty
member by sending a letter of recommendation. In addition, the
student is required to send in a copy of a recent transcript. THE
DEADLINE FOR APPLICATION IS JUNE, 30. Students will be expected to
finance their travel. The workshop will cover local living expenses
for U.S. citizens and permanent residents.

ORGANIZERS

Ben Fitzpatrick (Center for Research in Scientific Computation)
Hien T. Tran (Center for Research in Scientific Computation)

CONTACT PERSON
Submit your complete applications or any inquiries you may have
concerning this workshop to:

A Workshop on the Method of Lines for Time-Dependent Problems will be held
at the University of Kentucky in Lexington, Kentucky, from Wednesday, May
31 1995 until Saturday, June 3 1995. Total attendance at the conference
will be limited to sixty participants.

Participants will have the opportunity to propose a presentation on a
topic associated with the method of lines for time-dependent partial
differential equations or with aspects of the (parallel) solution of
ordinary differential equations which may have implications for the method
of lines for time-dependent problems. Presentations on applications of the
Method of Lines will be welcomed. Some discussion panels will also be
organised.

There will be a refereed conference proceedings published in a special
issue of Applied Numerical Mathematics. Presenters of invited and
contributed papers will be encouraged to submit papers for the
proceedings.

Further details may be obtained by e-mailing

mol@glenclova.mines.colorado.edu

The workshop is supported by the National Science Foundation, the
Institute for Mathematics and its Applications, the Center for
Computational Sciences of the University of Kentucky, Dedman College of
Southern Methodist University, and the Colorado School of Mines.

POSTDOCTORAL POSITION
MATHEMATICS AND COMPUTER SCIENCE DIVISION
ARGONNE NATIONAL LABORATORY

Argonne National Laboratory has openings for postdoctoral research positions
in the Mathematics and Computer Science Division and invites outstanding
candidates to apply. One position is expected to be on assignment at the
Supercomputing Research Center in Bowie, Maryland. Candidates should have a
Ph.D. in applied mathematics, computer science, computational chemistry or
a related discipline and comprehensive knowledge in numerical linear algebra
and parallel computing.

The successful candidate will participate in the development of algorithms
and software tools for large-scale dense eigenvalue and orthogonal
reduction problems under the umbrella of the PRISM (Parallel Research in
Invariant Subspace Methods) project. Information on the PRISM project
can be found in pub/prism on ftp.super.org. This project is interdisciplinary
in nature and interfaces with efforts in computational chemistry.

The Mathematics and Computer Science Division supports an excellent
computational environment that includes access to high-performance scientific
workstations, a scientific visualization and virtually reality laboratory,
and state-of-the-art parallel computers.

Argonne is located in the southwestern Chicago suburbs, offering
the advantages of affordable housing and good schools, as well as
easy access to the cultural attractions of the city.

Applicants must have received their Ph.D. not more than three years prior
to the beginning of the appointment. The appointment is available immediately
and for a one-year term (renewable). Applications should be addressed to
Walter McFall, Box mcs-postdoc9, Employment and Placement, Argonne National
Laboratory, 9700 S. Cass Avenue, Argonne, IL 60439, and
must include a resume' and the names and addresses of three references.
For additional information, contact Chris Bischof (bischof@mcs.anl.gov).